Addison \a-ddi-son\ as a girl's name (also used as boy's name Addison), is pronounced AD-ih-sun. It is of Old English origin, and the meaning of Addison is "son of Adam". Surname used as a given name. Addison has 4 variant forms: Addeson, Addyson, Adison and Adisson. For more information, see also the related name Addie. A baby name that sounds like Addison is Adesina. View a list of the 2 names that reference Addison.